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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/33893


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/33893


    Title: 複雜抽樣設計下邏輯斯迴歸模式之分析
    Authors: 劉國輝
    Contributors: 陳麗霞
    劉國輝
    Keywords: 複雜抽樣設計
    邏輯斯迴歸模式
    Date: 2003
    Issue Date: 2009-09-17 18:44:49 (UTC+8)
    Abstract: 當反應變數是二元（binary）時，邏輯斯迴歸（logistic regression）可幫助我們建立解釋變數與反應變數間的關係。然而，一般在進行邏輯斯迴歸分析時，總是假設樣本資料是由簡單隨機抽樣（simple random sampling）所取得，亦即所有的樣本皆具有相同的抽樣權重（sampling weights）。不過，在實務上，許多的大型抽樣調查都是採用複雜抽樣方法（complex sampling method）來抽取樣本。例如：採用多階段抽樣（multistage sampling）結合分層抽樣（stratified sampling）或是群集抽樣（cluster sampling）的方式來進行抽樣。由於樣本不再是以簡單隨機抽樣所取得，因此，統計分析的方式可分為兩類：一類乃設計導向（design-based）;另一類則為模式導向（model-based）。其中，若將抽樣調查的抽樣設計方式以及樣本的代表性與統計模式的估計或檢定等推論過程相結合，則其屬於設計導向之方式。反之，若忽略這些因素，則相當於視調查資料來自於簡單隨機樣本，仍遵循一般的程序進行分析，則稱之為模式導向。本論文旨在探討如何以設計導向的方法，進行複雜抽樣方法所取得樣本資料的邏輯斯迴歸分析。
    Reference: 1. Agresti, A. (1990), Categorical Data Analysis. John Wiley & Sons, New York, pp. 115-117.
    2. Birch, MW (1963), A New Proof of the Pearson-Fisher Theorem, Mathematical Statistics. 35, pp. 817-824.
    3. Graubard, BI, Korn, EL & Midthune, D. (1997), Testing Goodness of Fit for Logistic Regression with Survey Data, National Cancer Institute.
    4. Guttman, I. (1982), Linear Models: An Introduction. John Wiley & Sons, Inc.
    5. Hosmer, DW & Lemeshow, S. (2000), Applied Logistic Regression. John Wiley, Inc., New York , pp. 147-149, 203-365.
    6. Jesse, AC, Brian, DM & Joseph, AC (1995), Logitse : A SAS Marco for Logistic Regression Modeling in Complex Surveys.
    7. Korn, EL & Grraubard, BI (1990), Simultaneous Testing of Regression Coefficients With Complex Survey Data : Use of Bonferroni t Statistics. American Statistics, 44, pp. 270-276.
    8. Lehtonen, R. & Pahkinen, EJ (1995), Practical Methods for Design and Analysis of Complex Surveys. John Wiley & Sons, Inc., New York, pp. 269-276.
    9. Roberts, G., Rao, JNK. & Kumar, S. (1987), Logistic Regression Analysis of Sample Survey Data, Biomertrika, 74, 1, pp. 1-12.
    10. Skinner, CJ, Holt, D. & Smith, TMF. (1989), Analysis of Complex Surveys. John Wily & Son, Inc., Singapore.
    11. Stata Press (2001), STATA 7 Reference Su-Z. College Station, Texas.
    12. Stata Press (2001), STATA 7 User’s Guide. College Station, Texas.
    13. Thomas, AW (1991), Introduction to Linear Algebra. Blackie & Son, Inc, pp. 186.
    14. Wolter, KM (1985), Introduction to Variance Estimation. Springer & Verlag, Inc., New York, pp. 153-156, 221-228.
    Description: 碩士
    國立政治大學
    統計研究所
    89354010
    92
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0089354010
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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